Question

The number of natural numbers k such that 3ksquare +4k+12/k is a prime is
1.0. 2.2. 3.3. 4.4

Answer 1

Answer:

3 (3)

Step-by-step explanation:

given : 3k^2+4k+12/k

now....

a prime never in p/q form

hence....

12/k should be natural number

so possible options are....

12/1, 12/2, 12/3, 12/4, 12/6, 12/12

hence...

k = 1, 2, 3, 4, 6, 12 only

now putting these in given...

3(1)^2 + 4(1) + 12/1 = 19 : prime

and proceeding so on....we get

k = 3 & 4 also yield primes

therefore....k = 1, 3 & 4 gives us three primes